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LCM of 524, 534, 295, 589, 855

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 524, 534, 295, 589, 855 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 524, 534, 295, 589, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,534,295,589,855

Given numbers are 524,534,295,589,855

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 524,534,295,589,855 is 72929143620.

Find LCM of 524,534,295,589,855 with Prime Factorization


2 524, 534, 295, 589, 855
3 262, 267, 295, 589, 855
5 262, 89, 295, 589, 285
19 262, 89, 59, 589, 57
262, 89, 59, 31, 3

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 19 x 262 x 89 x 59 x 31 x 3 = 72929143620

Therefore, the lowest common multiple of 524,534,295,589,855 is 72929143620.

LCM Formula to Find Lowest Common Multiple of 524,534,295,589,855

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

524 x 534 x 295 x 589 x 855 = 41569611863400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

524 : 1, 2, 4, 131, 262, 524

534 : 1, 2, 3, 6, 89, 178, 267, 534

295 : 1, 5, 59, 295

589 : 1, 19, 31, 589

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,534,295,589,855, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

534:2x 3x 89

295:5x 59

589:19x 31

855:3x 3x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 19 = 570

Therefore, the value for common factors is 570.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 41569611863400/(1x570)

LCM = 41569611863400/570

LCM = 72929143620

Thus, we can understand that the LCM of 524,534,295,589,855 is 72929143620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 534, 295, 589, 855

1. What is the LCM of 524, 534, 295, 589, 855?

Answer: LCM of 524, 534, 295, 589, 855 is 72929143620.

2. How to calculate the LCM of 524, 534, 295, 589, 855?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 524, 534, 295, 589, 855.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.